Question

See picture for Question, can't figure out why.

Answer 1

You're right, the graph looks like an inverse tangent function, sort of, where the horizontal asymptotes are at -3 and 3.

Answer 2

There is something wrong with the problem, i believe. @phi

Answer 3

I think you misunderstood, the red boxes show the CORRECT ANSWER, i did not put those in, i put other numbers, i guessed. I don't know how to solve.

Answer 4

All the answers shown are correct, i'm asking how to get there.

Answer 5

@Jhannybean Can you show me the work you did, the problem is fine. I can see how it looks confusing though.

Answer 6

\[\frac{ \sqrt{(9x^2+3x+13)}-5 }{ (x-1) }\] and it showed me something that looked like this.

Answer 7

Yeah thats the question.... I'm asking how to solve it. I don't know where they get 3 for positive infinity, and -3 for negative infinity from. They are the correct answers, i just don't understand how.

Answer 8

@tcarroll010 why don't you say anything?

Answer 9

Oh! okay i'll draw it. :)

Answer 10

Thanks : )

Answer 11

I thought my drawing showed up but it kicked me off OS -_-

Answer 12

Aww : ( No rush

Answer 13

so you have this. right?
\[\lim_{x \rightarrow -\infty}=-3\] and \[\lim_{x \rightarrow +\infty}= 3\] i'm going to draw arrows to represent the behavior of this limit as it approaches positive AND negative infinity.